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Chemical Kinetics and Nuclear Chemistry question

2024 · Shift 2 · Q11

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JEE Advanced
Chemistry
Chemical Kinetics and Nuclear Chemistry
2024 · Shift 2 · Q11

Chemical Kinetics and Nuclear Chemistry question

2024 · Shift 2 · Q11

JEE AdvancedChemistryChemical Kinetics and Nuclear ChemistryNumerical+4 / −1

A sample initially contains only

U

-238 isotope of uranium. With time, some of the

U

-238 radioactively decays into

\mathrm{Pb}-206

while the rest of it remains undisintegrated. When the age of the sample is

\mathbf{P} \times 10^8

years, the ratio of mass of

\mathrm{Pb}-206

to that of

\mathrm{U}-238

in the sample is found to be 7. The value of

\mathbf{P}

is

\underline{\hspace{2cm}}

. [Given: Half-life of

\mathrm{U}-238

is

4.5 \times 10^9

years;

\log _e 2=0.693

]

Numerical answer

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